Generalized Walker solutions to the Landau-Lifshitz-Gilbert equations

James P. Braselton; Martha L. Abell; Lorraine M. Braselton

doi:10.1016/S0020-7462(00)00034-2

Generalized Walker solutions to the Landau-Lifshitz-Gilbert equations

James P. Braselton, Martha L. Abell, Lorraine M. Braselton

Georgia Southern University

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

By assuming that φ = φ₀ is fixed, exact solutions to the LLG equations can be found. Graphs of M indicate that the vectors align as expected of the behavior of ferromagnets. Graphs of θ(x,t) and w(x,t) are useful in visualizing that energy peaks occur along the boundary of the region where the magnetization is constant.

Original language	English
Pages (from-to)	571-579
Number of pages	9
Journal	International Journal of Non-Linear Mechanics
Volume	36
Issue number	4
DOIs	https://doi.org/10.1016/S0020-7462(00)00034-2
State	Published - Jun 2001

Scopus Subject Areas

Mechanics of Materials
Mechanical Engineering
Applied Mathematics

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10.1016/S0020-7462(00)00034-2

Cite this

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title = "Generalized Walker solutions to the Landau-Lifshitz-Gilbert equations",

abstract = "By assuming that φ = φ0 is fixed, exact solutions to the LLG equations can be found. Graphs of M indicate that the vectors align as expected of the behavior of ferromagnets. Graphs of θ(x,t) and w(x,t) are useful in visualizing that energy peaks occur along the boundary of the region where the magnetization is constant.",

author = "Braselton, {James P.} and Abell, {Martha L.} and Braselton, {Lorraine M.}",

year = "2001",

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doi = "10.1016/S0020-7462(00)00034-2",

language = "English",

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journal = "International Journal of Non-Linear Mechanics",

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T1 - Generalized Walker solutions to the Landau-Lifshitz-Gilbert equations

AU - Braselton, James P.

AU - Abell, Martha L.

AU - Braselton, Lorraine M.

PY - 2001/6

Y1 - 2001/6

N2 - By assuming that φ = φ0 is fixed, exact solutions to the LLG equations can be found. Graphs of M indicate that the vectors align as expected of the behavior of ferromagnets. Graphs of θ(x,t) and w(x,t) are useful in visualizing that energy peaks occur along the boundary of the region where the magnetization is constant.

AB - By assuming that φ = φ0 is fixed, exact solutions to the LLG equations can be found. Graphs of M indicate that the vectors align as expected of the behavior of ferromagnets. Graphs of θ(x,t) and w(x,t) are useful in visualizing that energy peaks occur along the boundary of the region where the magnetization is constant.

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U2 - 10.1016/S0020-7462(00)00034-2

DO - 10.1016/S0020-7462(00)00034-2

M3 - Article

SN - 0020-7462

VL - 36

SP - 571

EP - 579

JO - International Journal of Non-Linear Mechanics

JF - International Journal of Non-Linear Mechanics

IS - 4

ER -

Generalized Walker solutions to the Landau-Lifshitz-Gilbert equations

Abstract

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